English

Geometric intersections of loops on surfaces

Geometric Topology 2022-07-13 v3

Abstract

Based on Nielsen fixed point theory and Gr\"{o}bner-Shirshov basis, we obtain a simple method to compute geometric intersection numbers and self-intersection geometric numbers of loops on surfaces.

Keywords

Cite

@article{arxiv.1909.03468,
  title  = {Geometric intersections of loops on surfaces},
  author = {Ying Gu and Xuezhi Zhao},
  journal= {arXiv preprint arXiv:1909.03468},
  year   = {2022}
}
R2 v1 2026-06-23T11:08:57.456Z